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The recovery services in UK mostly carry a dolly trailer that lifts the front (driving) wheels off the ground, and you ride in the cab. They usually give you the choice, but it is a lot more work for them to set up the dolly than a tow bar, and a lot harder for you if they don't (you have to steer but you can't see the road ahead). The recovery agent is probably on "piece work", so if you were bullied into using a hitch when you wanted a proper tow, then make a complaint to the RAC.